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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2000; 00:16 Prepared using nmeauth.cls [Version: 2002/09/18 v2.02]
 

Summary: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Int. J. Numer. Meth. Engng 2000; 00:1­6 Prepared using nmeauth.cls [Version: 2002/09/18 v2.02]
An L - Lp mesh adaptive method for computing
unsteady bi-fluid flows
D. Gu´egan1, O. Allain1, A. Dervieux2 and F. Alauzet3
1 LEMMA - 2000 route des Lucioles - Les Algorithmes - Bt. Le Thales A, Biot, 06410, France.
2 INRIA - Tropics Project, 2004 Route des Lucioles, Sophia-Antipolis, 06902, France.
3 INRIA - Gamma Project, Domaine de Voluceau, Le Chesnay, 78153, France.
SUMMARY
This paper discusses the contribution of mesh adaptation to high-order convergence of unsteady
multi-fluid flow simulations on complex geometries. The mesh adaptation relies on a metric-based
method with a Lp
-norm error control for the size prescription and a mesh generation algorithm based
on an anisotropic Delaunay kernel. Mesh-adaptive time advancing is achieved thanks to a transient
fixed-point algorithm to predict the solution evolution coupled with a metric intersection in time
procedure. In time direction we impose equidistribution of error, that is minimisation in L
. This
adaptive approach is applied to an incompressible Navier-Stokes model combined with a level set
formulation discretized on triangular and tetrahedral meshes. Applications to interface flows under
gravity are performed to evaluate the performance of this method for this class of discontinuous flows.

  

Source: Alauzet, Frédéric - INRIA Paris-Rocquencourt

 

Collections: Computer Technologies and Information Sciences